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Finding the Fourth Proportional to 7,295.25, 10,944.71 and 2,101.13

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Solution

The fourth proportional to 7,295.25, 10,944.71 and 2,101.13 is: 3,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.25 : 10,944.71 = 2,101.13 : x
  2. Step 2: Convert to fraction form
    7,295.25/10,944.71 = 2,101.13/x
  3. Step 3: Cross multiply
    7,295.25x = 10,944.71 × 2,101.13
  4. Step 4: Simplify right side
    7,295.25x = 22,996,258.52
  5. Step 5: Solve for x
    x = 22,996,258.52/7,295.25
  6. Step 6: Final answer
    x = 3,152.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.